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Finding the Fourth Proportional to 9,476.16, 13,073.04 and 5,698.32

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Solution

The fourth proportional to 9,476.16, 13,073.04 and 5,698.32 is: 7,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.16 : 13,073.04 = 5,698.32 : x
  2. Step 2: Convert to fraction form
    9,476.16/13,073.04 = 5,698.32/x
  3. Step 3: Cross multiply
    9,476.16x = 13,073.04 × 5,698.32
  4. Step 4: Simplify right side
    9,476.16x = 74,494,365.29
  5. Step 5: Solve for x
    x = 74,494,365.29/9,476.16
  6. Step 6: Final answer
    x = 7,861.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.